Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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An unfolding of the Takens-Bogdanov singularity


Authors: P. Hirschberg and E. Knobloch
Journal: Quart. Appl. Math. 49 (1991), 281-287
MSC: Primary 58F14; Secondary 34C23
DOI: https://doi.org/10.1090/qam/1106393
MathSciNet review: MR1106393
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Abstract: A complete analysis for $ \left\vert \mu \right\vert, \left\vert \nu \right\vert \ll 1$ of the equation

$\displaystyle \dot x = y, \dot y = \mu x + \nu y + M{x^2} + \Gamma xy$

describing a particular unfolding of the Takens-Bogdanov singularity is presented.

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DOI: https://doi.org/10.1090/qam/1106393
Article copyright: © Copyright 1991 American Mathematical Society


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